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Finding the Fourth Proportional to 261,091, 360,305.94 and 147,921.40

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Solution

The fourth proportional to 261,091, 360,305.94 and 147,921.40 is: 204,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,091 : 360,305.94 = 147,921.40 : x
  2. Step 2: Convert to fraction form
    261,091/360,305.94 = 147,921.40/x
  3. Step 3: Cross multiply
    261,091x = 360,305.94 × 147,921.40
  4. Step 4: Simplify right side
    261,091x = 53,296,959,073.12
  5. Step 5: Solve for x
    x = 53,296,959,073.12/261,091
  6. Step 6: Final answer
    x = 204,131.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.